Answer all the questions. Each question carries 5 marks. 1. The table shows the numbers of hours require in each of three departments to make a unit of various products named A, B, and C. For example, product B required 1 hour of time in Department 1, 3 hours in Department II and 7 hours in Department III. C Department 1 A 1 Hours Required Per Unit of Product B 1 3 7 9 II 1 7 13 III 2 Find the numbers of units of A, B and C that could be made if Department I has 75 hours available, Department ll has 85 hours available and Department III has 175 hours available. 2. The 2010 U.S. Federal tax rate for single individuals was as follows: 10% on an adjusted gross income (AGI) between $0 and $20,000; 20% on the excess over $20,000 on an AGI between $20,000 and $60,000; and 30% on the excess over $60,000 on an AGI between $60,000 and $100,000. (a) Determine the tax function. (b) What was the couple's AG if taxes are $13000? 3. A hardware company has a linear total cost function and has determined that it has a total cost of $13,980 on sales of $6,000. The same company has a total cost of $18,620 on sales of $14,000. The selling price per unit is $1. (a) Determine the revenue, cost, and profit function using q for quantity. (b) What is the fixed cost? (c) What is the variable cost on sales of $60,000? (d) What is the total cost on sales of $60,000? (e) Find the break-even point and break-even dollar volume of sales